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[img]2022m10s/ct_ve01203002j_egreqjs_0180_202211[/img]In the sum above, if X an
[img]2022m10s/ct_ve01203002j_egreqjs_0180_202211[/img]In the sum above, if X an
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2025-02-23
39
管理
问题
In the sum above, if X and Y each denote one of the digits from 0 to 9, inclusive, then X=
选项
A、9
B、6
C、3
D、1
E、0
答案
E
解析
本题可使用两种解题方法。
(1)数位展开法:
=10OY+10X+7,
=60+Y,
=100Y+70+X,则101Y+10X+67=100Y+70+X,即9X+Y=3,则X=0,Y=3,故答案为E。
(2)竖式加法:从最高位看,Y没有进位,故X只能为0或1。而7+Y个位为X,必然有进位产生,即X+6+1=7,则X=0,故答案为E。
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